If the other 680 is reading fine that 680 is probably open. One thing that is important is to measure with the probe tips touching the actual leads of the resistor, not the terminals it is soldered to. That way the measurement can't be affected by a bad connection to the terminal. If that doesn't bring any new info to light, the most sure way to verify the resistor's value is to disconnect one end from the circuit so it can't be affected by caps charging or other components' resistance.